The Ian Campbell Folk Group sang Lord of the Dance
in 1967 on their Transatlantic album
New Impressions.
Ian Campbell noted:

Sydney Carter once sent me a book of contemporary carols he had written, and
I earmarked this one for future performance and then, I am afraid, forgot about
it. Nearly two years later John [Dunkerley] heard it performed by Martin Carthy
on one of Sydney's television programmes and enjoyed it so much that he drove
us mad for days humming and whistling it incessantly. Finally I suggested that
he arrange it for the group to perform, and so he did.

Martin Carthy sang Lord of the Dance
on his 1968 Fontana album with Dave Swarbrick,
But Two Came By.
This recording was reissued on his 1971 anthology
This Is… Martin Carthy,
on the 1971 compilation album with The Spinners, The Corries and Martin Carthy,
Focus on Folk,
and in 2001 on the definitive Martin Carthy anthology,
The Carthy Chronicles.
Martin commented in his original album's sleeve notes:

Sydney Carter is probably the most prolific song writer in the revival,
and never seems to be satisfied with his work. He is forever chopping verses
around and altering them, sometimes going through torment over single words,
but it seems to work well. One song which, as far as I can tell, he seems
satisfied with is
Lord of the Dance,
set to a tune which is adapted from a Shaker hymn,
The Gift to Be Simple.
It reflects, I think, his attitude to life and natural processes in
general, an attitude which, as it so happens, I share.